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Finding the Third Proportional to 10,624,819,617 and 15,878,670,313.50

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Solution

The third proportional to 10,624,819,617 and 15,878,670,313.50 is: 23,730,489,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,819,617 : 15,878,670,313.50 = 15,878,670,313.50 : x
  2. Step 2: Convert to fraction form
    10,624,819,617/15,878,670,313.50 = 15,878,670,313.50/x
  3. Step 3: Cross multiply
    10,624,819,617x = 15,878,670,313.50 × 15,878,670,313.50
  4. Step 4: Simplify right side
    10,624,819,617x = 252,132,170,924,826,198,016
  5. Step 5: Solve for x
    x = 252,132,170,924,826,198,016/10,624,819,617
  6. Step 6: Final answer
    x = 23,730,489,553.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.